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VARVARA [1.3K]
3 years ago
7

determine the quadratic equations whose graph is given the vertex is (1,1) and the y intercept is (0,-7).

Mathematics
1 answer:
Zanzabum3 years ago
7 0

The vertex form of a quadratic equation is

... y = a(x -h)² + k . . . . . . where the vertex is (h, k) and "a" is some multiplier

Then using the given information, we can find "a".

... -7 = a(0 -1)² +1 = a+1

... -8 = a

The quadratic equation is

... y = -8(x -1)² +1 . . . . vertex form

or

... y = -8x² +16x -7 . . . . standard form

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ABCD is a parallelogram. Find the values of x and y. Solve for the value of z, if z=x−y.
slava [35]

Answer:

C

Step-by-step explanation:

Parallel and opposite sides of a parallelogram are equal. Hence, we can say:

x + 30 = 2x - 10

and

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Solving first one, we get:

x + 30 = 2x - 10

30+10 = x

x = 40

Also

2y - 10 = y + 10

y = 10 + 10

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Now, z = x - y, so

z = 40 - 20 = 20

Answer C is right.

3 0
3 years ago
What is the quotient (2x^2+10x+12)/(x+3)
vova2212 [387]

Answer:

3

Step-by-step explanation:

4 0
2 years ago
PLEASE HELP ME WITH THIS QUESTION ITS URGENT!!!
Alex Ar [27]

Start by distributing the exponent to each of the terms in (2u)^{3}.  This will become 2^{3} u^{3}, and 2^{3} =8.  Now, the expression is:

\frac{2u^{3} v^{2} }{8u^{3} * u^{2} }.


We can now simplify the bottom to read: 8u^{5} because when multiplying variables raised to an exponent, we add the exponents.  The expression now looks like:

\frac{2u^{3} v^{2} }{8u^{5} }


The 2/8 simplifies to 1/4:

\frac{u^{3} v^{2} }{4u^{5} }


Now, we have two u terms on the top and bottom.  When dividing variables raised to an exponent, we subtract the exponents.  However, since 3-5=-2, the term will be on the bottom to avoid the negative exponent.  The final answer is:

\frac{v^{2} }{4u^{2} }


Hope this makes sense!!


4 0
3 years ago
Monica wants to save at least $399 to buy a new laptop computer. She has $284 saved already. Which options below will allow her
german

Answer:

She is given $205 and spends $57.

She earns $580 and spends $422.

She is given $38 and earns $42.

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Step-by-step explanation:

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4 0
3 years ago
May someone help me with this question
Dafna11 [192]
X + 13 = -4
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3 0
2 years ago
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